From hardy to rellich inequalities on graphs
- We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality. The results are proven first for Laplacians and are extended to Schrodinger operators afterwards.
Author details: | Matthias KellerORCiD, Yehuda PinchoverORCiDGND, Felix PogorzelskiORCiDGND |
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DOI: | https://doi.org/10.1112/plms.12376 |
ISSN: | 0024-6115 |
ISSN: | 1460-244X |
Title of parent work (English): | Proceedings of the London Mathematical Society |
Publisher: | Wiley |
Place of publishing: | Hoboken |
Publication type: | Article |
Language: | English |
Date of first publication: | 2020/08/16 |
Publication year: | 2020 |
Release date: | 2023/06/23 |
Tag: | 26D15; 31C20; 35B09; 35R02; 39A12 (primary); 58E35 (secondary) |
Volume: | 122 |
Issue: | 3 |
Number of pages: | 20 |
First page: | 458 |
Last Page: | 477 |
Funding institution: | DFGGerman Research Foundation (DFG)European Commission |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Peer review: | Referiert |
Publishing method: | Open Access / Hybrid Open-Access |
License (German): | CC-BY-NC-ND - Namensnennung, nicht kommerziell, keine Bearbeitungen 4.0 International |
External remark: | Zweitveröffentlichung in der Schriftenreihe Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 1379 |